Quantitative Aptitude Quiz for IBPS 2020 Mains Exams- 1st December

Q1. Two men A and B are 60 km apart and walking towards each other with the speed of 10 kmph & 5 kmph respectively and a dog is running with speed of 12 kmph from man A towards man B & then again towards man A and so on, until A meets B. Find the distance travelled by the dog?
(a) 60 km
(b) 36 km
(c) 24 km
(d) 48 km
(e) 72 km
(e) 7.5 km

Q2. Two persons A and B start from some point ‘P’ and travelled in same direction. Ratio of speed of A to speed of B is 6 : 5. After 2 hours ‘A’ continues to move in same direction but B stops. After 5 hours distance between them becomes 100 km. Find the speed of A.
(a) 12 km/hr
(b) 24 km/hr
(c) 18 km/hr
(d) 60 km/hr
(e) 30 km/hr

Q3. Rohit started running towards the park with the speed of 10 kmph and reached there in 1 hour. One day a dog started to chase him when he had covered half distance due to which he increases his speed and reached park 15 minutes earlier. Find the time taken by him at increased speed to reach the park from home.
(a) 45 minutes
(b) 30 minutes
(c) 50 minutes
(d) 35 minutes
(e) 25 minutes

Q4. Distance between A and B is 450 km. Veer & Shivam can cover distance between A and B in ‘T’ & (T + 4) hours respectively. If Shivam & Veer start from A at 8.00 am and 10.00 am respectively and both meet at 12.30 pm, then find the distance from A, where they meet?
(a) 225 km
(b) 175 km
(c) 150 km
(d) 125 km
(e) 100 km

Q5. A boat took 4 hours more to cover distance ‘D’ in upstream than covering same distance in downstream and boat covers 98 km in downstream in 3.5 hours. Then, find the value of ‘D’, if speed of stream is 8 km/hr.
(a) 100 km
(b) 93 km
(c) 84 km
(d) 90 km
(e) None of the above.

Q6. A boat of length 20 meters crosses a lighthouse of length 50 meters in downstream in 126/17 seconds and in upstream in 126/7 seconds respectively. Then, find the ratio of speed of boat in still water to speed of stream.
(a) 3 : 2
(b) 11 : 9
(c) 13 : 4
(d) 12 : 5
(e) 8 : 5

Q7. Distance between point A and Delhi Airport is 3600 km. If a pilot gets late by 50 minutes then to reach Delhi Airport from point A at scheduled time, he has to increase the speed of plane by 20%. Then find distance traveled by plane in 3 hr 45 minutes, if it travels with increased speed?
(a) 2840 km
(b) 3240 km
(c) 3280 km
(d) 3640 km
(e) 3840 km

Q8. Shivam, Sandi and Preet shared driving on a trip of 2250 km. Shivam and Preet drives for t1 hours, Sandi drives for t2 hours. Sandi is driving at the speed of 150 km/hr which is half of the sum of driving speed of Shivam and Preet. For which of the following value of t2, t1 will be integer?
(i) 4
(ii) 3
(iii)5
(iv)6
(v) 7
(a) Only (i) and (v)
(b) Only (ii),(iii)and (v)
(c) Only (i) and (iii)
(d) Only (iii) and (v)
(e) Only (i),(ii) and (iii)

Q9. A man driving his car at 45 km/hr to reach his office on time, but had he driven his car 40% more speed then he would have reached his office 10 minutes earlier. Then, find the distance between his office and home
(a) 25.40 km
(b) 26.25 km
(c) 25.85 km
(d) 26.90 km
(e) None of the above.

Q12. Train-A crosses a pole in 9 seconds and Train-B which is 180m long and running at 150km/hr crosses Train-A in 57.6 seconds, while running in same direction. Then, find in how much time will Train-A cross Train-B while running in opposite direction?
(a) 9.6 seconds
(b) 8.2 seconds
(c) 6.4 seconds
(d) 5 seconds
(e) 11.2 seconds

Q14. Ratio between length of two trains is 6 : 7 , while speeds of longer trains and smaller train are 72 km/hr & 108 km/hr respectively. If both trains crosses each other running is opposite direction in 10.4 sec, then find in what time longer train will be cross a platform whose length is 520 m ?
(a) 35sec
(b) 25 sec
(c) 45 sec
(d) 40 sec
(e) 5 5 sec